I don't care about income inequality, I care about the idea that there are people who have actual obstacles to success.-Ben Shapiro

...we hear about the wage gap, the idea that women are paid significantly less than men--seventy two cents on the dollar--that's absolute shear nonesense--it is absolute nonesense--in 147 out of 150 of the biggest cities in America, women make 8% more money than men do in their peer group. That wage gap is growing, not shrinking.-Ben Shapiro

We're in a situation now where students can go to university and come out dumber than when they went in. They are infantalized by safe space and trigger warning culture, the idea that interogating a new idea, coming into contact with a school of thought or a person that doesn't conform to your prejudices is somehow problematic, that it gives rise to trauma.-Milo Yiannopoulus

I don't care about income inequality, I care about the idea that there are people who have actual obstacles to success.-Ben Shapiro

...we hear about the wage gap, the idea that women are paid significantly less than men--seventy two cents on the dollar--that's absolute shear nonesense--it is absolute nonesense--in 147 out of 150 of the biggest cities in America, women make 8% more money than men do in their peer group. That wage gap is growing, not shrinking.-Ben Shapiro

We're in a situation now where students can go to university and come out dumber than when they went in. They are infantalized by safe space and trigger warning culture, the idea that interogating a new idea, coming into contact with a school of thought or a person that doesn't conform to your prejudices is somehow problematic, that it gives rise to trauma.-Milo Yiannopoulus

I don't care about income inequality, I care about the idea that there are people who have actual obstacles to success.-Ben Shapiro

...we hear about the wage gap, the idea that women are paid significantly less than men--seventy two cents on the dollar--that's absolute shear nonesense--it is absolute nonesense--in 147 out of 150 of the biggest cities in America, women make 8% more money than men do in their peer group. That wage gap is growing, not shrinking.-Ben Shapiro

We're in a situation now where students can go to university and come out dumber than when they went in. They are infantalized by safe space and trigger warning culture, the idea that interogating a new idea, coming into contact with a school of thought or a person that doesn't conform to your prejudices is somehow problematic, that it gives rise to trauma.-Milo Yiannopoulus

I mean the idea of .99999999=1 has not yet been solved as yet, not from what has been worked on in that forum here, nor anywhere else. Because it deals with the existence of absolutes, it will never be solved.

And since 1=2 has generally been solved as a paradox, and shown as a paradox, once the shroud of mystery surrounding it disappears, it clears it up.

Oh, you mean 'trick' as in a form of deception, something that once unveiled removes the magic. I see. In that case, I agree that 1 = 0.999... is not a trick, it's just a fact. And I agree that its standing as a trick will forever be debated by the infinitesimalists. Still, I'm sick of debating it. I want something new, something to ponder my brains over.

I don't care about income inequality, I care about the idea that there are people who have actual obstacles to success.-Ben Shapiro

...we hear about the wage gap, the idea that women are paid significantly less than men--seventy two cents on the dollar--that's absolute shear nonesense--it is absolute nonesense--in 147 out of 150 of the biggest cities in America, women make 8% more money than men do in their peer group. That wage gap is growing, not shrinking.-Ben Shapiro

We're in a situation now where students can go to university and come out dumber than when they went in. They are infantalized by safe space and trigger warning culture, the idea that interogating a new idea, coming into contact with a school of thought or a person that doesn't conform to your prejudices is somehow problematic, that it gives rise to trauma.-Milo Yiannopoulus

gib wrote:Oh, you mean 'trick' as in a form of deception, something that once unveiled removes the magic. I see. In that case, I agree that 1 = 0.999... is not a trick, it's just a fact. And I agree that its standing as a trick will forever be debated by the infinitesimalists. Still, I'm sick of debating it. I want something new, something to ponder my brains over.

You got anything?

No, Gib, I did not use the the word 'trick' I just said that 1=.999999999~Is not a trick, as such- because, the inference of Your example implying that therefore- it is a trick invalid.. It is based on the binominal extension of the basic logic of the rule of exclusion, therefore not prevy to analysis of higher order mathematical adaptation to physical sciences.genetally. specific functions may do. And I am only thinking in the terms suggested, and they seem credible.

So Your example may predict a solution as it was described by Carleas , but the later appears to have closed that probability.

I don't care about income inequality, I care about the idea that there are people who have actual obstacles to success.-Ben Shapiro

...we hear about the wage gap, the idea that women are paid significantly less than men--seventy two cents on the dollar--that's absolute shear nonesense--it is absolute nonesense--in 147 out of 150 of the biggest cities in America, women make 8% more money than men do in their peer group. That wage gap is growing, not shrinking.-Ben Shapiro

We're in a situation now where students can go to university and come out dumber than when they went in. They are infantalized by safe space and trigger warning culture, the idea that interogating a new idea, coming into contact with a school of thought or a person that doesn't conform to your prejudices is somehow problematic, that it gives rise to trauma.-Milo Yiannopoulus

I don't care about income inequality, I care about the idea that there are people who have actual obstacles to success.-Ben Shapiro

...we hear about the wage gap, the idea that women are paid significantly less than men--seventy two cents on the dollar--that's absolute shear nonesense--it is absolute nonesense--in 147 out of 150 of the biggest cities in America, women make 8% more money than men do in their peer group. That wage gap is growing, not shrinking.-Ben Shapiro

We're in a situation now where students can go to university and come out dumber than when they went in. They are infantalized by safe space and trigger warning culture, the idea that interogating a new idea, coming into contact with a school of thought or a person that doesn't conform to your prejudices is somehow problematic, that it gives rise to trauma.-Milo Yiannopoulus

I don't care about income inequality, I care about the idea that there are people who have actual obstacles to success.-Ben Shapiro

...we hear about the wage gap, the idea that women are paid significantly less than men--seventy two cents on the dollar--that's absolute shear nonesense--it is absolute nonesense--in 147 out of 150 of the biggest cities in America, women make 8% more money than men do in their peer group. That wage gap is growing, not shrinking.-Ben Shapiro

We're in a situation now where students can go to university and come out dumber than when they went in. They are infantalized by safe space and trigger warning culture, the idea that interogating a new idea, coming into contact with a school of thought or a person that doesn't conform to your prejudices is somehow problematic, that it gives rise to trauma.-Milo Yiannopoulus

Gib, I know you can do better than this.You have a strong mind, you just need to take your time and focus.

The whole thing was supposed to be a system of qualities.So I should be able to match any equality to another entity in the system.You wrote a + b = b, and that (a + b)(a - b)=b(a - b), that a+b=(a + b)(a - b), that a +b = b.So it should logically follow that b(a-b)=b.But it fails in all cases except zero.For instance, 4(4-4)=4.That is false. It always will equal zero.

I don't care about income inequality, I care about the idea that there are people who have actual obstacles to success.-Ben Shapiro

...we hear about the wage gap, the idea that women are paid significantly less than men--seventy two cents on the dollar--that's absolute shear nonesense--it is absolute nonesense--in 147 out of 150 of the biggest cities in America, women make 8% more money than men do in their peer group. That wage gap is growing, not shrinking.-Ben Shapiro

We're in a situation now where students can go to university and come out dumber than when they went in. They are infantalized by safe space and trigger warning culture, the idea that interogating a new idea, coming into contact with a school of thought or a person that doesn't conform to your prejudices is somehow problematic, that it gives rise to trauma.-Milo Yiannopoulus

I don't care about income inequality, I care about the idea that there are people who have actual obstacles to success.-Ben Shapiro

...we hear about the wage gap, the idea that women are paid significantly less than men--seventy two cents on the dollar--that's absolute shear nonesense--it is absolute nonesense--in 147 out of 150 of the biggest cities in America, women make 8% more money than men do in their peer group. That wage gap is growing, not shrinking.-Ben Shapiro

We're in a situation now where students can go to university and come out dumber than when they went in. They are infantalized by safe space and trigger warning culture, the idea that interogating a new idea, coming into contact with a school of thought or a person that doesn't conform to your prejudices is somehow problematic, that it gives rise to trauma.-Milo Yiannopoulus

It would produce nonsensical results such as this:(3+4)(3-4)=4(3-4)-7=-4

The crux of what you are doing, is exposing a flaw in mathematics. You set the value of the equations to zero, so it erodes any qualities the equations originally had.See my thread called "the number delusion".

The same thing happens when you scale a 3 dimensional shape to zero. You can scale it to 10%, 50%, or even a negative, and still retain the shape. But once you set it to zero information is lost and the shape no longer exists. That is the crux of what you are doing here.

It would produce nonsensical results such as this:(3+4)(3-4)=4(3-4)-7=-4

gib wrote:Suppose that a = b...

I don't know why this wasn't an open/shut thread. A nice little trick to figure out, for sure, but it doesn't warrant in depth discussion unless you don't understand it. It certainly doesn't throw numbers into doubt.

gib wrote:I'm interested in this:

1 + 2 + 3 + 4 + 5 + 6 + 7 + .... = -1/12

This one might warrant discussion though.

It happens when you mess around with infinite series, notably "s = 1-2+3-4+5-6+7-..." and what happens when you add it to itself in a certain way (i.e. add the 1st term to the 2nd, the 2nd to the 3rd and so on) and noting that it results in "t = 1-1+1-1+1-1+1-...", which you have to accept equals a 1/2, because it's an average of whether you "stop" at the last even number in the series or the last odd number in the series.Accepting these, you can say that 2s = t = 1/2, therefore s = 1/4.Then you can subtract "s" from the infinite series in question of "u = 1+2+3+4+5+6+7+...", the first term from the first term, the second from the second and so on - nothing special here. You get "u-s = 0+4+0+8+12+0+16+...", so you can factor out the 4 and get "u-s = 4(1+2+3+4+5+6+7+...)", which is "u-s=4u".This simplifies to "-s = 3u", we know s = 1/4 so "-1/4 = 3u", making our infinite series "u = -1/12".

Obviously it rides on the problem of "t". I don't see why you can't add "s" to itself in the way I described above... infinite series extend infinitely so it doesn't matter what order you add each number together. The rest is just standard rearrangement and substitution.

I don't think the infinite series "t" has a valid answer, which makes possible such things as "1+2+3+4+5+6+7+..." = -1/12. I'm pretty sure you can make it equal other different values too.

lordoflight wrote:It would produce nonsensical results such as this:(3+4)(3-4)=4(3-4)-7=-4

You can't do that! a must equal b!

lordoflight wrote:The crux of what you are doing, is exposing a flaw in mathematics. You set the value of the equations to zero, so it erodes any qualities the equations originally had.See my thread called "the number delusion".

I don't know about any flaw in mathematics... just a trick in a pseudo-proof.

lordoflight wrote:The same thing happens when you scale a 3 dimensional shape to zero. You can scale it to 10%, 50%, or even a negative, and still retain the shape. But once you set it to zero information is lost and the shape no longer exists. That is the crux of what you are doing here.

Not sure what you mean by "set the value of the equations to zero." There was a divide by zero, and if a = b, then some of the equations resolved to zero, but not all. Equations should be permitted to equal zero sometimes, but it's the divide by zero which really screws things up.

I don't care about income inequality, I care about the idea that there are people who have actual obstacles to success.-Ben Shapiro

...we hear about the wage gap, the idea that women are paid significantly less than men--seventy two cents on the dollar--that's absolute shear nonesense--it is absolute nonesense--in 147 out of 150 of the biggest cities in America, women make 8% more money than men do in their peer group. That wage gap is growing, not shrinking.-Ben Shapiro

We're in a situation now where students can go to university and come out dumber than when they went in. They are infantalized by safe space and trigger warning culture, the idea that interogating a new idea, coming into contact with a school of thought or a person that doesn't conform to your prejudices is somehow problematic, that it gives rise to trauma.-Milo Yiannopoulus